Ideals that are an irredundant union of principal ideals

DOI10.1007/s12215-012-0081-7zbMath1261.13001OpenAlexW2006575522MaRDI QIDQ693217

Sangmin Chun, Daniel D. Anderson

Publication date: 7 December 2012

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-012-0081-7

zbMATH Keywords

irreducible elementACCPatomic ringCK ringirredundant union of principal idealsweak CK ring

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Divisibility and factorizations in commutative rings (13A05) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (2)

Length functions in commutative rings with zero divisors ⋮ Unnamed Item

Cites Work

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• Idealization of a module
• Factorization in commutative rings with zero divisors
• A Note on Finite Unions of Ideals and Subgroups
• Finite Unions of Ideals and Modules
• A Quasi-Commutative Ring That is Not Neo-Commutative
• A Class of Atomic Rings

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